π: Y¹⁴ → X⁴
dim(Y) = dim(X) + dim(GL(TX))
4 + 10 = 14
ω ∈ Ω¹(ad P) — gauge potential
G = SO(7,7) or Spin(7,7)
∇ = d + [A, ·] — Levi-Civita
4D SPACETIME
OBSERVERSE Y¹⁴
FIBER π⁻¹(x)
GAUGE FIELD
SPINOR FIELD
10-DIMENSIONAL FIBER
BASE MANIFOLD
X⁴
4D Lorentzian spacetime
observable universe
OBSERVERSE
Y¹⁴
Bundle of metrics over X⁴
total space of GU
FIBER DIM.
F¹⁰
Sym₂(T*X) fiber
metric degrees of freedom
GAUGE GROUP
G₁₄
SO(7,7) unified symmetry
all forces unified